Question: Solve the system as follows. (c) Show that (d) Write the general solution and obtain its components in the form x = c 1 e-1,
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as follows.
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(c) Show that
-5.png)
-6.png)
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(d) Write the general solution and obtain its components in the form
x = c 1 e-1,
y = c2 cos 2t +c3 sin 2t,
z = c3 cos 2t - c2 sin 2t.
(e) Write the IVP solution for
-8.png)
in the form of part (d).
(f) Discuss the geometry of the solution curve in part (e) from its parametric equations. The curve is a helix.
- 0 01 =10 021=AX 0 -2 0 ,--21. = e-'10 001 0 2, 0 0 X2=| cos 2t! and x1 =I sin 2t1. -sin 2 Lcos 2r
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a The characteristic equation has roots 1 1 2 3 2i b Fo... View full answer
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